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Finding the Fourth Proportional to 381,218.82, 526,078.14 and 211,448.58

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Solution

The fourth proportional to 381,218.82, 526,078.14 and 211,448.58 is: 291,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,218.82 : 526,078.14 = 211,448.58 : x
  2. Step 2: Convert to fraction form
    381,218.82/526,078.14 = 211,448.58/x
  3. Step 3: Cross multiply
    381,218.82x = 526,078.14 × 211,448.58
  4. Step 4: Simplify right side
    381,218.82x = 111,238,475,672.04
  5. Step 5: Solve for x
    x = 111,238,475,672.04/381,218.82
  6. Step 6: Final answer
    x = 291,796.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.